Fair Value of Dogecoin - Schedule of Changes in Quantity of Dogecoin and the Respective Fair Value (Details)		3 Months Ended	9 Months Ended
		Jun. 30, 2026 USD ($)	Jun. 30, 2026 USD ($)
Schedule of Changes in Quantity of Dogecoin and the Respective Fair Value [Abstract]
Beginning balance, Quantity of dogecoin	[1]	20,163,410.8951
Beginning balance, Fair Value	[1]	$ 1,855,639
Dogecoin purchased, Quantity of dogecoin	[1]	18,141,591.7277	38,320,502.6228
Dogecoin purchased, Fair Value	[1],[2]	$ 1,754,159	$ 4,246,310
Dogecoin sold to pay Sponsor Fee, Quantity of dogecoin	[1]	(43,000)	(58,500)
Dogecoin sold to pay Sponsor Fee, Fair Value	[1]	$ (3,985)	$ (5,392)
Net realized loss on investment in Dogecoin sold to pay Sponsor Fee, Quantity of dogecoin	[1]
Net realized loss on investment in Dogecoin sold to pay Sponsor Fee, Fair Value	[1],[2]	$ (780)	$ (1,287)
Net change in unrealized depreciation on investment in Dogecoin, Quantity of dogecoin	[1]
Net change in unrealized depreciation on investment in Dogecoin, Fair Value	[1]	$ (843,282)	$ (1,477,880)
Ending balance, Quantity of dogecoin	[1],[3]	38,262,002.6228	38,262,002.6228
Ending balance, Fair Value	[1],[3],[4]	$ 2,761,751	$ 2,761,751

[1] No comparative table has been provided as the Trust commenced investment operations on January 21, 2026.

[2] No prior comparative statements have been provided as this is the first fiscal year of the Trust’s investment operations.

[3] No prior comparative statements have been provided as the Trust did not hold investments in Dogecoin as of September 30, 2025.

[4] There were no Dogecoin holdings as of September 30, 2025.